Integrate the Function $$\int \frac { \sqrt { x ^ { 2 } + 9 } } { 5 x ^ { 2 } } d x$$

question 5

Multiple Choice

Integrate the function.
- $$\int \frac { \sqrt { x ^ { 2 } + 9 } } { 5 x ^ { 2 } } d x$$

• A) \(\frac { 1 } { 5 } \ln \left| \sqrt { x ^ { 2 } + 9 } + x \right| - \sin ^ { - 1 } \frac { x } { 3 } + C\)
• B) \(\ln \left| \sqrt { x ^ { 2 } + 9 } + x \right| + \frac { \sqrt { x ^ { 2 } + 9 } } { 5 x } + C\)
• C) \(\frac { 1 } { 5 } \ln \left| \sqrt { \mathrm { x } ^ { 2 } + 9 } + \mathrm { x } \right| - \frac { \sqrt { \mathrm { x } ^ { 2 } + 9 } } { 5 \mathrm { x } } + \mathrm { C }\)
• D) \(x + \ln \left| \sqrt { x ^ { 2 } + 9 } \right| + \frac { \sqrt { x ^ { 2 } + 9 } } { 5 x } + C\)

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Definitions:

Ontology

Ontology is the philosophical study of being, existence, and the categories of being.

Genuine Caring

Expressing authentic concern and empathy for the welfare and needs of others, often considered a core principle in nursing and healthcare.

Eriksson

Likely refers to Katie Eriksson, a nursing theorist known for her contributions to the caring science field, focusing on the caritative caring theory.

Caritative Caring

This concept refers to nursing that is grounded in a love and respect for the humanity of patients, emphasizing compassionate and ethical care.